Three-body bound states and structure calculations of the He2-Ne system using the slow variable discretization method

The He-2-Ne system with the combination of the isotopes of helium (He-3 and He-4) is used in structure calculations. Three-body channel functions and adiabatic potential functions have been calculated using the B-spline method. We use these channel functions in the slow variable discretization method to calculate the three-body bound states of the He-2-Ne system. Using this method, two bound states for the He-4(2)-Ne-20 system and one bound state for each of the He-4-He-3-Ne-20 and He-3(2)-Ne-20 systems have been found. The geometry of the trimer is also analyzed using the probability densities and expectation values.